10458480 has 40 divisors (see below), whose sum is σ = 32422032. Its totient is φ = 2788864.

The previous prime is 10458463. The next prime is 10458509. The reversal of 10458480 is 8485401.

10458480 = T₁₅₂₀ + T₁₅₂₁ + ... + T₁₅₂₈.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21549 + ... + 22028.

Almost surely, 2^10458480 is an apocalyptic number.

10458480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10458480 is an abundant number, since it is smaller than the sum of its proper divisors (21963552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10458480 is a wasteful number, since it uses less digits than its factorization.

10458480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43593 (or 43587 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 10458480 is about 3233.9573281044. The cubic root of 10458480 is about 218.6869445469.

The spelling of 10458480 in words is "ten million, four hundred fifty-eight thousand, four hundred eighty".